blob1.tex
author kevin@6e1638ff-ae45-0410-89bd-df963105f760
Wed, 26 Aug 2009 01:21:59 +0000
changeset 116 3f180943709f
parent 114 1e50c1a5e8c0
child 117 b62214646c4f
permissions -rw-r--r--
...

\documentclass[11pt,leqno]{amsart}

\newcommand{\pathtotrunk}{./}
\input{text/article_preamble}
\input{text/top_matter}
\input{text/kw_macros}


\title{Blob Homology}

\begin{document}

\makeatletter
\@addtoreset{equation}{section}
\gdef\theequation{\thesection.\arabic{equation}}
\makeatother

\maketitle

\textbf{Draft version, do not distribute.}

%\versioninfo
[26 August 2009]



\noop{

\section*{Todo}

\subsection*{What else?...}

\begin{itemize}
\item higher priority
\begin{itemize}
\item K\&S: learn the state of the art in A-inf categories
(tensor products, Kadeishvili result, ...)
\item K: so-called evaluation map stuff
\item K: topological fields
\item section describing intended applications
\item say something about starting with semisimple n-cat (trivial?? not trivial?)
\item T.O.C.
\end{itemize}
\item medium priority
\begin{itemize}
\item $n=2$ examples
\item dimension $n+1$ (generalized Deligne conjecture?)
\item should be clear about PL vs Diff; probably PL is better
(or maybe not)
\item something about higher derived coend things (derived 2-coend, e.g.)
\item shuffle product vs gluing product (?)
\item connection between $A_\infty$ operad and topological $A_\infty$ cat defs
\end{itemize}
\item lower priority
\begin{itemize}
\item Derive Hochschild standard results from blob point of view?
\item Kh
\item Mention somewhere \cite{MR1624157} ``Skein homology''; it's not directly related, but has similar motivations.
\end{itemize}
\end{itemize}

} %end \noop



\input{text/intro}

\input{text/definitions}

\input{text/basic_properties}

\input{text/hochschild}

\input{text/evmap}

\input{text/ncat}

\input{text/a_inf_blob}

\input{text/A-infty}

\input{text/gluing}

\input{text/comm_alg}


\appendix

\input{text/famodiff}

\input{text/comparing_defs}

\input{text/misc_appendices}

%\input{text/obsolete}

% ----------------------------------------------------------------
%\newcommand{\urlprefix}{}
\bibliographystyle{plain}
%Included for winedt:
%input "bibliography/bibliography.bib"
\bibliography{bibliography/bibliography}
% ----------------------------------------------------------------

This paper is available online at \arxiv{?????}, and at
\url{http://tqft.net/blobs},
and at \url{http://canyon23.net/math/}.

% A GTART necessity:
% \Addresses
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\end{document}
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